基于Henon系统和Duffing方程自同步与异结构同步的研究

Research on self-synchronization and different structure synchronization based on the Henon system and the Duffing equation

文章基于线性系统的稳定性理论,分别采用连续型混沌系统和离散型混沌系统,对参考信号进行追踪控制;对比分析了Henon系统和Duffing方程在追踪正弦信号,以及实现自同步与异结构同步方面的性能;仿真结果证明了Duffing方程对于任意频率正弦信号追踪的可行性。

Based on the stability theory of the linear system, the continuous chaos system and the discrete chaos system are used respectively to track and control the reference signal. The comparative analysis of sine signal tracking and the properties of self-synchronization and different structure synchronization based on the Henon system and the Dulling equation prove the possibility of using the Dulling equation to track the sine signal of random frequency. In addition, for the first time, the method of adopting the continuous chaos system to track the discrete chaos system is proposed.